ME510 NUMERICAL METHODS IN ME II
| Course Code: | 5690510 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mechanical Engineering |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. CÜNEYT SERT |
| Offered Semester: | Fall and Spring Semesters. |
Course Objectives
At the end of the course students will be able to use numerical methods to solve ODEs and PDEs.
Course Content
Ordinary differential equations. Euler, Runge-Kutta, multi-step, predictor-corrector methods. Boundary value problems. Matrix and shooting methods. Partial differential equations. Finite difference, Crank-Nicholson, Gauss-Seidel methods. (S)
Course Learning Outcomes
By the end of the course the students will be able to
- classify ODEs and PDEs
- tell the difference and relation between consistency, stability and convergence
- select an appropriate finite difference based numerical solution scheme for a given ODE or PDE
- code various implicit/explicit, single step/multi-step ODE solution schemes
- code various finite difference based schemes to solve elliptic, parabolic and hyberbolic PDEs
- perform stability analysis of various ODE and PDE solution schemes